Self-generated magnetic fields modelling within high-order Lagrangian magneto-hydrodynamics

0554989 - FZÚ 2022 RIV FR eng C - Conference Paper (international conference)
Nikl, Jan - Kuchařík, M. - Weber, Stefan A.
Self-generated magnetic fields modelling within high-order Lagrangian magneto-hydrodynamics.
Europhysics Conference Abstracts. Vol. 45A. Mulhouse: European Physical Society, 2021, č. článku P1.2022. ISBN 979-10-96389-13-1.
[47th European Physical Society Plasma Physics Conference. online (FR), 21.06.2021-25.06.2021]
R&D Projects: GA MŠMT LQ1606
Research Infrastructure: ELI Beamlines III - 90141
Institutional support: RVO:68378271
Keywords : Lagrangian magneto-hydrodynamics * modelling of laser–target interaction
OECD category: Fluids and plasma physics (including surface physics)
http://ocs.ciemat.es/EPS2021PAP/pdf/P1.2022.pdf

The mechanism of magnetic field self-generation due to crossed gradients of density and temperature is known for a long time from the astrophysical context, but it finds its importance even within modelling of laser–target interaction and inertial confinement fusion in particular. Therefore, it is highly desirable to incorporate this phenomenon to the magneto-hydrodynamic description commonly used for magnetized dense plasmas. Specifically, Lagrangian framework modelling the physics of interaction in the moving fluid frame is considered. However, the classical approaches suffer from the detrimental selfamplification process known as the Biermann catastrophe. We propose a stable method for modelling of the Biermann battery effect within the two-temperature high-order curvilinear finite element hydrodynamics, which also maintain the magnetic field divergence-free. Construction of the method is reviewed and verified on a physically relevant simulation.
Permanent Link: http://hdl.handle.net/11104/0329600